An Oppenheim type determinantal inequality for the Khatri-Rao product

Published 10 Mar 2020 in math.FA | (2003.04522v1)

Abstract: We first give an Oppenheim type determinantal inequality for the Khatri-Rao product of two block positive semidefinite matrices, and then we extend our result to multiple block matrices. As products, the extensions of Oppenheim type inequalities for the Hadamard product are also included.

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